11202212102010 has 96 divisors (see below), whose sum is σ = 28132211761920. Its totient is φ = 2854299277440.

The previous prime is 11202212101981. The next prime is 11202212102021. The reversal of 11202212102010 is 1020121220211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181677 + ... + 4736816.

It is an arithmetic number, because the mean of its divisors is an integer number (293043872520).

Almost surely, 2^{11202212102010} is an apocalyptic number.

11202212102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11202212102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14066105880960).

11202212102010 is an abundant number, since it is smaller than the sum of its proper divisors (16929999659910).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11202212102010 is a wasteful number, since it uses less digits than its factorization.

11202212102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4918644 (or 4918613 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11202212102010 its reverse (1020121220211), we get a palindrome (12222333322221).

The spelling of 11202212102010 in words is "eleven trillion, two hundred two billion, two hundred twelve million, one hundred two thousand, ten".